-3(5y-3)-y=-3(y-2)

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Solution for -3(5y-3)-y=-3(y-2) equation:


Simplifying
-3(5y + -3) + -1y = -3(y + -2)

Reorder the terms:
-3(-3 + 5y) + -1y = -3(y + -2)
(-3 * -3 + 5y * -3) + -1y = -3(y + -2)
(9 + -15y) + -1y = -3(y + -2)

Combine like terms: -15y + -1y = -16y
9 + -16y = -3(y + -2)

Reorder the terms:
9 + -16y = -3(-2 + y)
9 + -16y = (-2 * -3 + y * -3)
9 + -16y = (6 + -3y)

Solving
9 + -16y = 6 + -3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '3y' to each side of the equation.
9 + -16y + 3y = 6 + -3y + 3y

Combine like terms: -16y + 3y = -13y
9 + -13y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
9 + -13y = 6 + 0
9 + -13y = 6

Add '-9' to each side of the equation.
9 + -9 + -13y = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -13y = 6 + -9
-13y = 6 + -9

Combine like terms: 6 + -9 = -3
-13y = -3

Divide each side by '-13'.
y = 0.2307692308

Simplifying
y = 0.2307692308

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